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Finding the Third Proportional to 1,275,547.50 and 1,977,912

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Solution

The third proportional to 1,275,547.50 and 1,977,912 is: 3,067,024.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,275,547.50 : 1,977,912 = 1,977,912 : x
  2. Step 2: Convert to fraction form
    1,275,547.50/1,977,912 = 1,977,912/x
  3. Step 3: Cross multiply
    1,275,547.50x = 1,977,912 × 1,977,912
  4. Step 4: Simplify right side
    1,275,547.50x = 3,912,135,879,744
  5. Step 5: Solve for x
    x = 3,912,135,879,744/1,275,547.50
  6. Step 6: Final answer
    x = 3,067,024.85

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.